Acta Mathematica Sinica, English Series

, Volume 29, Issue 2, pp 315–330 | Cite as

Lower and upper fuzzy topological subhypergroups

Article
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Abstract

This paper provides a new connection between algebraic hyperstructures and fuzzy sets. More specifically, using both properties of fuzzy topological spaces and those of fuzzy subhypergroups, we define the notions of lower (upper) fuzzy topological subhypergroups of a hypergroup endowed with a fuzzy topology. Some results concerning the image and the inverse image of a lower (upper) topological subhypergroup under a very good homomorphism of hypergroups (endowed with fuzzy topologies) are pointed out.

Keywords

Hypergroup fuzzy topological space (relatively) fuzzy continuity lower (upper) fuzzy topological subhypergroup 

MR(2010) Subject Classification

20N20 03E72 54A40 
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Supplementary material

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Center for Systems and Information TechnologiesUniversity of Nova GoricaNova GoricaSlovenia
  2. 2.Department of MathematicsHubei University for NationalitiesEnshiP. R. China

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